2672800 has 72 divisors (see below), whose sum is σ = 7054236. Its totient is φ = 983040.

The previous prime is 2672797. The next prime is 2672821. The reversal of 2672800 is 82762.

It can be written as a sum of positive squares in 6 ways, for example, as 1317904 + 1354896 = 1148^2 + 1164^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10272 + ... + 10528.

2^2672800 is an apocalyptic number.

2672800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527118).

2672800 is an abundant number, since it is smaller than the sum of its proper divisors (4381436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2672800 is a wasteful number, since it uses less digits than its factorization.

2672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2672800 is about 1634.8700254149. The cubic root of 2672800 is about 138.7784888610.

It can be divided in two parts, 2 and 672800, that multiplied together give a square (1345600 = 1160²).

The spelling of 2672800 in words is "two million, six hundred seventy-two thousand, eight hundred".